GCD of 576, 272, 337, 605 Calculator

Given Input numbers are 576, 272, 337, 605

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 337

List of positive integer divisors of 337 that divides 337 without a remainder.

1, 337

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Greatest Common Divisior

We found the divisors of 576, 272, 337, 605 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 272, 337, 605 is 1.

Therefore, GCD of numbers 576, 272, 337, 605 is 1

Given Input Data is 576, 272, 337, 605

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 337 is 337

Prime Factorization of 605 is 5 x 11 x 11

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(576, 272) = 9792

GCD(576, 272) = ( 576 x 272 ) / 9792

GCD(576, 272) = 156672 / 9792

GCD(576, 272) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 337

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(16, 337) = 5392

GCD(16, 337) = ( 16 x 337 ) / 5392

GCD(16, 337) = 5392 / 5392

GCD(16, 337) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 605

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 605) = 605

GCD(1, 605) = ( 1 x 605 ) / 605

GCD(1, 605) = 605 / 605

GCD(1, 605) = 1

GCD of 576, 272, 337, 605 is 1

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1. What is the GCD of 576, 272, 337, 605?

GCD of 576, 272, 337, 605 is 1

2. Where do I get the detailed procedure to find GCD of 576, 272, 337, 605?

You can find a detailed procedure to find GCD of 576, 272, 337, 605 on our page.

3. How to find GCD of 576, 272, 337, 605 on a calculator?

You can find the GCD of 576, 272, 337, 605 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.